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Assuming the coefficient of friction between the road and tyres of a car to be $0.5$, the maximum speed with which the car can move round a curve of $40.0\, m$ radius without slipping, if the road is unbanked, should be ......... $m/s$
A body of mass $'m '$ is tied to one end of a spring and whirled round in a horizontal plane with a constant angular velocity. The elongation in the spring is $1\, cm$. If the angular velocity is doubled, the elongation in the spring is $5\, cm$. The original length of the spring is ......... $cm$
A vehicle is moving with a velocity $v$ on a curved road of width $b$ and radius of curvature $R.$ For counteracting the centrifugal force on the vehicle, the difference in elevation required in between the outer and inner edges of the road is
A mass of $100\, gm$ is tied to one end of a string $2 \,m$ long. The body is revolving in a horizontal circle making a maximum of $200$ revolutions per min. The other end of the string is fixed at the centre of the circle of revolution. The maximum tension that the string can bear is .......... $N$. (approximately)
Imagine $a$ situation in which the horizontal surface of block $M_0$ is smooth and its vertical surface is rough with $a$ coefficient of friction $\mu$ Consider a special situation in which both the faces of the block $M_0$ are smooth, as shown in adjoining figure. Mark out the correct statement $(s)$
On the horizontal surface of a truck a block of mass $1 \;kg$ is placed $(\mu=0.6)$ and truck is moving with acceleration $5\; m / sec ^2$ then the frictional force on the block will be